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Finding the Fourth Proportional to 1,569.10, 2,351.85 and 644.20

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Solution

The fourth proportional to 1,569.10, 2,351.85 and 644.20 is: 965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.10 : 2,351.85 = 644.20 : x
  2. Step 2: Convert to fraction form
    1,569.10/2,351.85 = 644.20/x
  3. Step 3: Cross multiply
    1,569.10x = 2,351.85 × 644.20
  4. Step 4: Simplify right side
    1,569.10x = 1,515,061.77
  5. Step 5: Solve for x
    x = 1,515,061.77/1,569.10
  6. Step 6: Final answer
    x = 965.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.